Traffic Flow in a 1D Cellular Automaton Model with Open Boundaries

A. Benyoussef ； N. Boccara ； H. Chakib ； H. Ez-Zahraouy

《Chinese Journal of Physics》 39卷5期 (2001/10) Pp. 428-440

並列摘要

We have studied the open boundary cellular automaton models for the highway one-line traffic flow by using the mean field approximation and simulations. Our contribution focuses on the effect of braking probability (P) and a maximum velocity (v(subscript max)) on the density, flow and average velocity of cars moving in the middle of the road. The phase diagram is presented for v(subscript max) = 1 and v(subscript max) ＞ 1. The maximal flow phase does not occur for v(subscript max) ＞ 1, in contrast with the case v(subscript max) = 1 where this phase appears for p 6= 0. The first-order transition arises at ® = ¯(® ＜ ¯) for v(subscript max) = 1 (v(subscript max) ＞ 1), where ® and ¯ denote, respectively, the inside rate and the outside rate. The mean field approximation gives a good results in comparison with simulations for v(subscript max) ＞ 1, while for v(subscript max) = 1, the phase diagram obtained from the simulations is predicted by the mean field approximation when p ! 1.